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102220110200 = 235213192108907
BaseRepresentation
bin101111100110011001…
…0110001100101111000
3100202211220011121220102
41133030302301211320
53133321322011300
6114543111414532
710246052412665
oct1371462614570
9322756147812
10102220110200
113a39565081a
1217989384448
139840762710
144d39c54a6c
1529d40ca0d5
hex17cccb1978

102220110200 has 144 divisors (see below), whose sum is σ = 270125601480. Its totient is φ = 35756017920.

The previous prime is 102220110151. The next prime is 102220110227. The reversal of 102220110200 is 2011022201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 884147 + ... + 993053.

Almost surely, 2102220110200 is an apocalyptic number.

102220110200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135062800740).

102220110200 is an abundant number, since it is smaller than the sum of its proper divisors (167905491280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102220110200 is a wasteful number, since it uses less digits than its factorization.

102220110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108974 (or 108946 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102220110200 its reverse (2011022201), we get a palindrome (104231132401).

The spelling of 102220110200 in words is "one hundred two billion, two hundred twenty million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 19 20 25 26 38 40 50 52 65 76 95 100 104 130 152 190 200 247 260 325 361 380 475 494 520 650 722 760 950 988 1235 1300 1444 1805 1900 1976 2470 2600 2888 3610 3800 4693 4940 6175 7220 9025 9386 9880 12350 14440 18050 18772 23465 24700 36100 37544 46930 49400 72200 93860 108907 117325 187720 217814 234650 435628 469300 544535 871256 938600 1089070 1415791 2069233 2178140 2722675 2831582 4138466 4356280 5445350 5663164 7078955 8276932 10346165 10890700 11326328 14157910 16553864 20692330 21781400 26900029 28315820 35394775 39315427 41384660 51730825 53800058 56631640 70789550 78630854 82769320 103461650 107600116 134500145 141579100 157261708 196577135 206923300 215200232 269000290 283158200 314523416 393154270 413846600 511100551 538000580 672500725 786308540 982885675 1022201102 1076001160 1345001450 1572617080 1965771350 2044402204 2555502755 2690002900 3931542700 4088804408 5111005510 5380005800 7863085400 10222011020 12777513775 20444022040 25555027550 51110055100 102220110200